Welcome to Logo Tournament! Its cool to see a hometown name here. I am a Jax native myself. My family is in the construction business in Jax (Classic Industrial Fence Co.) My family has owned that business for 4 generations. I grew up doing that work all over Florida. I have a series of submissions that I will submit following this initial one. this one is a simple figure using the L and H from your name. It will stand out from a distance.
Clean and modern. This logo is very in line with the direction logos are heading for the foreseeable future. This one can last for years, because it is simple and fresh.
Paul, I like 38 and 39 but they are a little busy. Not a fan of the picket fence. That may be why it feels busy. Prefer the layout of number 38. Not real crazy about the rest of them. See what you can do. Thanks for sending.